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We present a novel formalisation of tensor semantics for linear temporal logic on finite traces (LTLf), with formal proofs of correctness carried out in the theorem prover Isabelle/HOL. We demonstrate that this formalisation can be…

Artificial Intelligence · Computer Science 2025-01-24 Mark Chevallier , Filip Smola , Richard Schmoetten , Jacques D. Fleuriot

We design controllers from formal specifications for positive discrete-time monotone systems that are subject to bounded disturbances. Such systems are widely used to model the dynamics of transportation and biological networks. The…

Systems and Control · Computer Science 2018-03-20 Sadra Sadraddini , Calin Belta

We study the verification problem of stochastic systems under signal temporal logic (STL) specifications. We propose a novel approach that enables the verification of the probabilistic satisfaction of STL specifications for nonlinear…

Logic in Computer Science · Computer Science 2025-03-10 Liqian Ma , Zishun Liu , Hongzhe Yu , Yongxin Chen

There is a growing interest on formal methods-based robotic planning for temporal logic objectives. In this work, we extend the scope of existing synthesis methods to hyper-temporal logics. We are motivated by the fact that important…

Robotics · Computer Science 2020-04-30 Yu Wang , Siddhartha Nalluri , Miroslav Pajic

Behavior Trees (BTs) are high level controllers that have found use in a wide range of robotics tasks. As they grow in popularity and usage, it is crucial to ensure that the appropriate tools and methods are available for ensuring they work…

Robotics · Computer Science 2024-11-22 Serena S. Serbinowska , Nicholas Potteiger , Anne M. Tumlin , Taylor T. Johnson

Propositional linear time temporal logic (LTL) is the standard temporal logic for computing applications and many reasoning techniques and tools have been developed for it. Tableaux for deciding satisfiability have existed since the 1980s.…

Logic in Computer Science · Computer Science 2016-09-15 Mark Reynolds

Propositional Linear Temporal Logic (LTL) is a popular formalism for specifying desirable requirements and security and privacy policies for software, networks, and systems. Yet expressing such requirements and policies in LTL remains…

Logic in Computer Science · Computer Science 2026-04-09 Priscilla Kyei Danso , Mohammad Saqib Hasan , Niranjan Balasubramanian , Omar Chowdhury

To realize a market entry of autonomous vehicles in the foreseeable future, the behavior planning system will need to abide by the same rules that humans follow. Product liability cannot be enforced without a proper solution to the approval…

Robotics · Computer Science 2019-12-02 Klemens Esterle , Vincent Aravantinos , Alois Knoll

This paper introduces zonoLAB, a MATLAB-based toolbox for set-based control system analysis using the hybrid zonotope set representation. Hybrid zonotopes have proven to be an expressive set representation that can exactly represent the…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Justin Koeln , Trevor J. Bird , Jacob Siefert , Justin Ruths , Herschel Pangborn , Neera Jain

Runtime monitoring of autonomous systems traditionally relies on mapping continuous sensor observations to discrete logical propositions defined over low-dimensional state variables. This abstraction breaks down in perception-driven…

Machine Learning · Computer Science 2026-05-15 Parv Kapoor , Abigail Hammer , Ashish Kapoor , Karen Leung , Eunsuk Kang

Automating the translation of natural language (NL) software requirements into formal specifications remains a critical challenge in scaling formal verification practices to industrial settings, particularly in safety-critical domains.…

Software Engineering · Computer Science 2025-12-22 Zhi Ma , Cheng Wen , Zhexin Su , Xiao Liang , Cong Tian , Shengchao Qin , Mengfei Yang

To maximize the information gained from a single execution when verifying a concurrent system, one can derive all concurrency-aware equivalent executions and check them against linear specifications. This paper offers an alternative…

Logic in Computer Science · Computer Science 2025-07-08 Martin Leucker

Inspection of power line infrastructures must be periodically conducted by electric companies in order to ensure reliable electric power distribution. Research efforts are focused on automating the power line inspection process by looking…

Robotics · Computer Science 2021-03-05 Giuseppe Silano , Davide Liuzza , Luigi Iannelli , Martin Saska

The majority of existing Linear Temporal Logic (LTL) planning methods rely on the construction of a discrete product automaton, that combines a discrete abstraction of robot mobility and a B$\ddot{\text{u}}$chi automaton that captures the…

Robotics · Computer Science 2021-03-24 Xusheng Luo , Yiannis Kantaros , Michael M. Zavlanos

Safety-critical infrastructures must operate safely and reliably. Fault tree analysis is a widespread method used to assess risks in these systems: fault trees (FTs) are required - among others - by the Federal Aviation Authority, the…

Software Engineering · Computer Science 2024-06-04 Stefano M. Nicoletti , E. Moritz Hahn , Marielle Stoelinga

Signal Temporal Logic (STL) offers verifiable task specifications and is crucial for safety-critical control. Yet STL planning remains challenging: exact optimization-based methods are often too slow, and learning-based methods struggle to…

Artificial Intelligence · Computer Science 2026-05-05 Bowen Ye , Ancheng Hou , Junyue Huang , Ruijia Liu , Xiang Yin

In this paper, we propose a novel one-pass and tree-shaped tableau method for Timed Propositional Temporal Logic and for a bounded variant of its extension with past operators. Timed Propositional Temporal Logic (TPTL) is a real-time…

Logic in Computer Science · Computer Science 2018-09-11 Luca Geatti , Nicola Gigante , Angelo Montanari , Mark Reynolds

This paper describes a method for converting formulas in finite propositional linear-time temporal logic (Finite LTL) into finite-state automata whose languages are the models of the given formula. Finite LTL differs from traditional LTL in…

Logic in Computer Science · Computer Science 2020-06-23 Samuel Huang , Rance Cleaveland

We present a method for learning multi-stage tasks from demonstrations by learning the logical structure and atomic propositions of a consistent linear temporal logic (LTL) formula. The learner is given successful but potentially suboptimal…

Robotics · Computer Science 2020-06-04 Glen Chou , Necmiye Ozay , Dmitry Berenson

We introduce a novel framework for evaluating the alignment between natural language plans and their expected behavior by converting them into Kripke structures and Linear Temporal Logic (LTL) using Large Language Models (LLMs) and…

Artificial Intelligence · Computer Science 2025-11-25 Keshav Ramani , Vali Tawosi , Salwa Alamir , Daniel Borrajo